Accession Number:

AD0701155

Title:

PROVING INVERSE-POSITIVITY OF LINEAR OPERATORS BY REDUCTION

Descriptive Note:

Corporate Author:

BOEING SCIENTIFIC RESEARCH LABS SEATTLE WA MATHEMATICS RESEARCH LAB

Personal Author(s):

• Schroeder, John

Report Date:

1969-12-01

Pagination or Media Count:

22.0

Abstract:

A method is presented to prove that a linear operator M is inverse- positive, i.e. Mu or o implies u or o. The method consists in reducing the problem for the given operator M to a simpler problem. Sometimes, iterated reductions are appropriate, for example, if M is a differential operator of higher order.

Descriptors:

• *OPERATORS(MATHEMATICS)
• BOUNDARY VALUE PROBLEMS
• DIFFERENTIAL EQUATIONS
• NUMERICAL ANALYSIS
• THEOREMS

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE